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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1984, Volume 140

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Mathematical problems in the theory of wave propagation. Part 14


Scattering problem for the Schrödinger equation in the case of a potential linear in time and coordinate. I. Asymptotics in the shadow zone
V. M. Babich, V. P. Smyshlyaev
6
Diffraction echo signal generated by the incidence of a plane wave on a prolate spheroid
V. S. Buldyrev, N. S. Grigor'eva
18
Construction of asymptotic solutions for weakly nonlinear Hamiltonian systems
S. A. Vakulenko
36
Short-wave asymptotics of the solution of the problem of a point source in an inhomogeneous moving medium
N. S. Grigor'eva
41
Rigorous justification of the Friedlander–Keller formulas
V. B. Philippov, A. B. Zayaev
49
Space-time ray method for waves of small deformation in a nonlinear elastic medium
A. P. Kachalov
61
A coordinate system for describing the “quasiphoton”
A. P. Katchalov
73
Effect of inhomogeneity of the medium on the directivity of the simplest sources of elastic waves
A. P. Kiselev
77
An integral representation of solutions and the problem of coupling factors for a linear differential equation
M. A. Kovalevskii
88
Single-phase and multiphase effective models describing periodic media
L. A. Molotkov, A. E. Khilo
105
Averaging periodic, nonideal elastic media
L. A. Molotkov, A. E. Khilo
123
Three-chamber cochlear model with basilar and Reissner membranes
S. M. Novoselova
132
Schrödinger equation. The theorem concerning the ansatz representation of a solution concentrated in a neighborhood of a minimum of the potential
T. F. Pankratova
137
Whispering-gallery waves in a neighborhood of an inflection point of the boundary. Asymptotics of the wave field as $t\to\infty$
M. M. Popov
151
Direction diagram of radiation in the problem of an inflection point of the boundary
V. G. Krasavin, M. M. Popov
167
Excitation of normal modes of a weakly inhomogeneous waveguide by a point source
N. A. Razumovskii
174
Solvability of the problem of evolution of an isolated volume of viscous, incompressible capillary fluid
V. A. Solonnikov
179


© Steklov Math. Inst. of RAS, 2024